Elliptic curve data - 75.c1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '75a', 'Clabel': '75a1', 'Cnumber': 1, 'abc_quality': 1.0439051029424253, 'absD': 1875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 30, 'ainvs': [0, -1, 1, -8, -7], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 75, 'degree': 6, 'elladic_images': ['5.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.59309833409467281468519193126', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 5], 'jinv': [-102400, 3], 'lmfdb_iso': '75.c', 'lmfdb_label': '75.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -8, -7], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.3'], 'modm_images': ['5.24.0-5.a.2.1', '6.2.0.a.1', '30.48.1-30.d.2.3'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1295776382393729395521117090', 'prec': 103}, 'szpiro_ratio': 4.17459837584637, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 2, -1, 2, 0, -2, -3, 0, 1, 0, 2, -2, 1, -6, 0, -4, 2, 2, -5, 0], 'aplist': [2, -1, 0, -3, 2, 1, 2, -5, 6, 10, -3, 2, -8, 1, 2, -4, -10, 7, -3, -8, -14, 0, 6, 0, 17], 'class_deg': 5, 'class_size': 2, 'conductor': 75, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '75.c', 'trace_hash': 270043000761900717}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '3.2746030911128196415900129745', 'prec': 100}, 'conductor': 75, 'gens': [], 'heights': [], 'lmfdb_label': '75.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.4025399402162211198444940853', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4025399402162211198444940852635322787', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [0, 1, 0], '3': [0, 0], '5': 'a', '7': [0, 0], '11': [0, 0], '13': [2, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '75.c1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 2594
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '75.c1', 'torsion': [2]}
  • id: 2595
    {'degree': 4, 'field': [1, -1, 1, -1, 1], 'lmfdb_label': '75.c1', 'torsion': [5]}
  • id: 2596
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '75.c1', 'torsion': [2, 2]}
  • id: 2597
    {'degree': 8, 'field': [-1, 4, -4, -1, 4, -7, 7, -4, 1], 'lmfdb_label': '75.c1', 'torsion': [3]}
  • id: 2598
    {'degree': 10, 'field': [-4, 10, -35, 40, 0, -8, -15, 10, 5, -5, 1], 'lmfdb_label': '75.c1', 'torsion': [5]}
  • id: 2599
    {'degree': 12, 'field': [-3, 0, 14, 0, 3, 0, 4, 0, 11, 0, 6, 0, 1], 'lmfdb_label': '75.c1', 'torsion': [4]}
  • id: 2600
    {'degree': 12, 'field': [1, -8, 26, -55, 95, -118, 119, -88, 55, -25, 11, -3, 1], 'lmfdb_label': '75.c1', 'torsion': [10]}
  • id: 2601
    {'degree': 20, 'field': [41, -25, -30, -20, -20, -1, 60, -155, 420, -560, 711, -780, 770, -645, 460, -281, 140, -60, 20, -5, 1], 'lmfdb_label': '75.c1', 'torsion': [5, 5]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 404
    {'conductor': 75, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '75.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 405
    {'conductor': 75, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '75.c1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1666083
    {'adelic_gens': [[1, 0, 10, 1], [1, 10, 0, 1], [21, 10, 20, 11], [3, 10, 20, 19], [11, 10, 25, 21], [6, 13, 5, 1]], 'adelic_image': '30.48.1.?', 'conductor': 75, 'lmfdb_label': '75.c1', 'prime': 0}
  • id: 241
    {'conductor': 75, 'elladic_image': '5.24.0.4', 'lmfdb_label': '75.c1', 'modell_image': '5B.1.3', 'prime': 5}
• lmfdb_iso 75.c does not appear in ec_padic